Circular Permutations
Mediummathematics
The number of ways in which 6 persons can be seated around a circular table is
Select the correct option:
Solution
Incorrect! Answer:
120
- Core Concept: In a circular arrangement, rotations are considered identical. To break the symmetry, we fix one person's position.
- Formula: The number of circular permutations of n distinct objects is (n−1)!.
- Substitution: For n=6, Ways =(6−1)!=5!.
- Calculation:
- 5×4×3×2×1=120.
- Result: 120 ways.
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More circular permutations Practice Questions
About This Question
- Subject
- mathematics
- Chapter
- permutations and combinations
- Topic
- circular permutations
- Difficulty
- Medium
- Year
- 2025
This medium difficulty mathematics question is from the chapter permutations and combinations, covering the topic of circular permutations. It appeared in the 2025 exam. Practice this and similar questions to strengthen your understanding of permutations and combinations concepts.
Looking for more practice? Explore all mathematics questions or browse permutations and combinations questions on RankGuru.